Question

помогите решить

найдите значение выражения:

tg( 5П/4+arccos(-3/4))

Answer 1

tg(5n/4+arccos(-3/4))=(tg(5n/4)+tg(arccos(-3/4)))/(1-tg(5/4)*tg(arccos(-3/4)))=(1+tg(arccos(-3/4)))/(1-tg(arccos(-3/4)))

tg(arccos(-3/4))=sin(arccos(-3/4))/cos(arccos(-3/4))=sqrt(1-cos^2(arccos(-3/4)))/(-3/4)=sqrt(1-9/16)/(-3/4)=(5/4)/(-3/4)=-5/3